Search a number
-
+
221132404231122 = 23372815416552331
BaseRepresentation
bin110010010001111001100110…
…011001110000101111010010
31001222222001101110102211102010
4302101321212121300233102
5212441013130440343442
62102150454000203350
764402201056441126
oct6221714631605722
91058861343384363
10221132404231122
11645067a930787a
1220974b36909556
139650908850727
143c86c18bd5586
151a8726460eb9c
hexc91e66670bd2

221132404231122 has 64 divisors (see below), whose sum is σ = 456676992286848. Its totient is φ = 71331285312000.

The previous prime is 221132404231117. The next prime is 221132404231129.

221132404231122 is nontrivially palindromic in base 10.

221132404231122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221132404231122.

It is not an unprimeable number, because it can be changed into a prime (221132404231129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30472497 + ... + 37024827.

It is an arithmetic number, because the mean of its divisors is an integer number (7135578004482).

Almost surely, 2221132404231122 is an apocalyptic number.

221132404231122 is an abundant number, since it is smaller than the sum of its proper divisors (235544588055726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221132404231122 is a wasteful number, since it uses less digits than its factorization.

221132404231122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553195.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 22113240 and 4231122, that added together give a palindrome (26344362).

The spelling of 221132404231122 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, four hundred four million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 111 222 281 541 562 843 1082 1623 1686 3246 10397 20017 20794 31191 40034 60051 62382 120102 152021 304042 456063 912126 5624777 6552331 11249554 13104662 16874331 19656993 33748662 39313986 242436247 484872494 727308741 1454617482 1841205011 3544811071 3682410022 5523615033 7089622142 10634433213 11047230066 21268866426 68124585407 131158009627 136249170814 204373756221 262316019254 393474028881 408747512442 786948057762 996091910951 1992183821902 2988275732853 5976551465706 36855400705187 73710801410374 110566202115561 221132404231122